972164921 has 16 divisors (see below), whose sum is σ = 1197256704. Its totient is φ = 768705984.

The previous prime is 972164909. The next prime is 972164923. The reversal of 972164921 is 129461279.

It is a cyclic number.

It is not a de Polignac number, because 972164921 - 2⁶ = 972164857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972164923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243080 + ... + 247046.

It is an arithmetic number, because the mean of its divisors is an integer number (74828544).

Almost surely, 2^972164921 is an apocalyptic number.

972164921 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

972164921 is a deficient number, since it is larger than the sum of its proper divisors (225091783).

972164921 is a wasteful number, since it uses less digits than its factorization.

972164921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680.

The product of its digits is 54432, while the sum is 41.

The square root of 972164921 is about 31179.5593458278. The cubic root of 972164921 is about 990.6341958976.

The spelling of 972164921 in words is "nine hundred seventy-two million, one hundred sixty-four thousand, nine hundred twenty-one".